Question

the tourist bureau of the hawaiian islands surveyed a sample of 5 united states tourists as they left to return home. the tourists were asked how many days they spent on their visits. their responses were as follows.

11, 9, 8, 4, 8

find the standard deviation of this sample of numbers. round your answer to two decimal places.

(if necessary, consult a list of formulas.)

Explanation:

Calculate the sample mean

Using the Sample Mean knowledge point

$$ \bar{x} = \frac{11 + 9 + 8 + 4 + 8}{5} = \frac{40}{5} = 8 $$

Calculate squared deviations

Using the Sample Standard Deviation knowledge point

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Sum the squared deviations

Using the Sample Standard Deviation knowledge point

$$ \sum (x_i - \bar{x})^2 = 9 + 1 + 0 + 16 + 0 = 26 $$

Compute the sample variance and standard deviation

Using the Sample Standard Deviation knowledge point

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Answer:

2.55